Archive of Issues
Russia Izhevsk
Section  Mechanics 
Title  On the application of random searching for the hard particles packing problem for composite solid propellant structure modeling 
Author(s)  Bolkisev A.A.^{a} 
Affiliations  Institute of Mechanics, Ural Branch of the Russian Academy of Sciences^{a} 
Abstract  The paper presents a problem statement for random hard particles packing as minimization of an objective function that is the measure of overlapping of $\mathbb{R}^3$ subdomains representing particles and forbidden zones, with desired pack characteristics being accounted for by an additional summand in the objective function. A new algorithm based on the random search approach is proposed; it assesses a new particles configuration after each movement, and particles grow from an initial to full size as overlaps being removed. This algorithm is matched with the viscous suspension algorithm for the case of packing equalsized spheres in a periodic cube. For packing fractions $\varphi<0,55$ the random search algorithm yields packs with fewer and smaller particle clusters than the viscous suspension one, in denser packs differences are insignificant. An example of creating a pack with the feature that particles are shifted closely to the solid boundary is shown as well. 
Keywords  hard spheres, hard particles, packing, random searching, composite solid propellant structure 
UDC  519.688 
MSC  49K45, 05B40 
DOI  10.20537/vm120210 
Received  16 March 2012 
Language  Russian 
Citation  Bolkisev A.A. On the application of random searching for the hard particles packing problem for composite solid propellant structure modeling, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2012, issue 2, pp. 106113. 
References 

Full text 